Use our free GCF of Fractions Calculator tool to compute the GCF of 695/650, 370/892 i.e 5/289900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 695/650, 370/892.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 695/650,370/892
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 695/650,370/892, numerators are 695,370
Denominators are 650,892
The GCF of 695,370 is 5 .
LCM of 650,892 is 289900.
The greatest common factor of 695/650,370/892 = [GCF of 695,370]/[LCM of 650,892]= 5/289900
Therefore, the GCF of 695/650,370/892 is 5/289900.
To find the highest common factor of 695,370, we have to find the factors of both numbers and list the highest common factor.
The factors of 695 are 1, 5, 139, 695
The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370
The HCF of 695,370 is 5.
Lets's calculate GCF of 695,370
5 | 695, 370 |
139, 74 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 695
:1,5,139,695
Now, list down the factors of 370
:1,2,5,10,37,74,185,370
Greatest Common Factor
We found the factors 695,370 . The biggest common factor number is the GCF number.
So the greatest common factor 695,370 is 5.
Lets's calculate LCM of 650,892
2 | 650, 892 |
325, 446 |
∴ So the LCM of the given numbers is 2 x 325 x 446 = 289900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/289900
Therefore, the GCF of Fractions 695/650,370/892 is 5/289900
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 650,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,892) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(650,892) x common factors =2 x 1 = 2
LCM(650,892) = ( 650 × 892 ) / 2
LCM(650,892) = 579800 / 2
LCM(650,892) = 289900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 695,370?
The HCF of 695,370 is 5
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 695/650, 370/892?
Answer: GCF of Numerators as per given numbers 695/650, 370/892 is
GCF of Numerators i.e. for 695,370 is 5
LCM of denominators i.e. for 650,892 is 289900.
Thus, GCF of Fractions is 5/289900.Finally, GCF of Fractions for 695/650, 370/892 is 5/289900.